ON HILBERT 2-CLASS FIELD TOWERS OF REAL QUADRATIC FUNCTION FIELDS

• 발행기관: 충청수학회
• 저자명: Hwan yup Jung
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 3, 547~553쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.09.30

영문 초록

In this paper we prove that real quadratic function ¯eld F over Fq(T) has in¯nite 2-class ¯eld tower if the 4-rank of narrow ideal class group of F is equal to or greater than 4 when q ´ 3 mod 4.

목차

1. Introduction and statement of main result

2. Preliminaries

3. Proof of Theorem 1.1

References